Additive Ramsey theory over Piatetski-Shapiro numbers

Jonathan Chapman, Sam Chow, Philippa Holdridge

We characterise partition regularity for linear equations over the Piatetski-Shapiro numbers $\lfloor n^c\rfloor$ when $1<c<c^{\hat{a}}€(s)$, where $s⩾3$ is the number of v…